[tex]~~~~~~ \stackrel{\textit{\LARGE University Bank}}{\textit{Compound Interest Earned Amount}} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]A=4000\left(1+\frac{0.05}{4}\right)^{4\cdot 4}\implies A=4000(1.0125)^{16}\implies \boxed{A\approx 4879.56} \\\\[-0.35em] ~\dotfill\\\\ ~~~~~~ \stackrel{\textit{\LARGE Rosemont Savings Bank}}{\textit{Compound Interest Earned Amount}}[/tex]
[tex]A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4000\\ r=rate\to 5.5\%\to \frac{5.5}{100}\dotfill &0.055\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{semiannually, thus two} \end{array}\dotfill &2\\ t=years\dotfill &4 \end{cases} \\\\\\ A=4000\left(1+\frac{0.055}{2}\right)^{2\cdot 4}\implies A=4000(1.0275)^8\implies \boxed{A\approx 4969.52}[/tex]
well, "better" meaning more amount per same 4000, clearly the latter will be better.
Answer:
Rosemont Savings Bank; interest is $969.52
Step-by-step explanation:
because i said so <3
Help pls!
Which rational function has zeros at x = -1 and x = 6 ?
Answer:
[tex]f(x) = \frac{x^{2} -5x-6}{x^{2} -4}[/tex]
Step-by-step explanation:
Let's factorize the 1st option :
⇒ [tex]f(x) = \frac{x^{2} -5x-6}{x^{2} -4}[/tex]
⇒ [tex]f(x) = \frac{x^{2}+x-6x-6 }{(x+2)(x-2)}[/tex]
⇒ [tex]f(x) = \frac{(x+1)(x-6)}{(x+2)(x-2)}[/tex]
===============================================================
Finding the zeros :
⇒ Factors of numerator should be equated to 0
x + 1 = 0 ⇒ x = -1x - 6 = 0 ⇒ x = 6=============================================================
Solution :
[tex]f(x) = \frac{x^{2} -5x-6}{x^{2} -4}[/tex]
Answer:
first option
Step-by-step explanation:
the zeros are determined by the numerator of the rational function.
given that the zeros are x = - 1 and x = 6 , then the corresponding factors are
(x + 1) and (x - 6) , that is
(x + 1)(x - 6) ← expand using FOIL
= x² - 5x - 6
the rational function is then
f(x) = [tex]\frac{x^2-5x-6}{x^2-4}[/tex]
The train at the zoo holds 36 people. Each row of seats in the train holds 4 people. How many rows of seats are there in the train?
You deposit $150 into an account that yields 2% interest compounded quarterly. how much money will you have after 5 years?
Answer:
2 divided by 100 multiply 150
let a={1,2,3,4,5} number of functions f from A to A such that f(m) +f(n)=7 whenever m+n = 7
Answer:
Correct option is A)
A={1,2,3,4,5,6}
f:A→A
∴ Number of onto function=n!
=6!
=6×5×4×3×2×1
∴ Number of onto function=720
Step-by-step explanation:
Which piece of additional information can be used to prove CEA CDB
Based on the angle-angle similarity theorem, the piece of additional information can be used to prove ΔCEA ≅ ΔCDB is: A. ∠BDC and ∠AED are right angles.
What is the Angle-angle Similarity Theorem?Based on the angle-angle similarity theorem, if two triangles have two pairs of corresponding angles that are congruent, then both triangles are similar.
In the diagram given, we can establish that the two triangles have one pair of congruent angles, ∠CEA ≅ ∠CDB.
Thus, an additional information that is needed to prove that both triangles are similar is: A. ∠BDC and ∠AED are right angles.
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Answer: A. ∠BDC and ∠AED are right angles
Step-by-step explanation:
PLEASE HELP WILL PICK BRAINLIEST!!! 50 POINTS!!!!
AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in AB a 1:2 ratio?
Answer:
See below ~
Step-by-step explanation:
Applying section formula :
⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.
Which graph represents the function f(x))=2•(1/3)^x
Answer:
The one in the right top hand corner. It shows one arrow pointing up and one to the right.
Step-by-step explanation:
I can't really explain it.
an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground
The angle of depression from the aeroplane to the ground will be 30 degrees.
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 kmThe angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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What value is missing from the table ?
Answer:
17 Gallons
Step-by-step explanation:
From the table, it is given:
1 gallon = $1.05
$1.05 = 1 gallon
$1 = [tex]\frac{1}{1.05}[/tex] gallons
$17.85 = [tex](\frac{1}{1.05} )(17.85)\\= 17 gallons[/tex]
It makes that every time we flip a fair the probability of flipping tails is
It makes that every time we flip a fair the probability of flipping tails is 50%.
What is the probability?Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5
Probability of flipping tails = number of tails / number of sides
1/2 = 0.5 = 50%
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For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)
Answer:
So first we substitute -2 for x
f(-2) = 10(-2)^2 - 4(-2) - 5
f(-2) = 400 + 8 - 5
f(-2) = 400 + 3
f(-2) = 403
Step-by-step explanation:
pls help!!!! i have eight more minutes to answer
eeeeeeeeee
2/3 of a number is 48. What is 1/4 of the number ?
Answer:
your answer will be 18
Step-by-step explanation:
2/3 of 72 is 48, 1/4 of 72 is 18
i need some extra words here so hopefully this works
PLEASE HELP ITS THE LAST QUESTION I NEED AND THEN ILL BE FINISHED WITH THIS UNIT!!!!! 40 POINTS!!!!
Answer:
First is b; because [B1] is [A1] multiplied by -4
Second is c; because [C2] = 7[B1] + [B2]
Is not a polygon because ???
Answer:
The shape includes a curve; all polygons are supposed to have straight sides, which this shape does not.
Answer: The shape includes a curve
Step-by-step explanation:
Polygons are closed shapes with at least three straight sides.
This shape is closed, but it includes a curve. This means the answer to our question is the second option from the top,
"The shape includes a curve"
What is the answer for this question
__ hundreds= 90 tens
Step-by-step explanation:
One hundred is 10 tens. Using this information, you can divide 90 by 10 to calculate the hundreds, and get 9 hundreds, or 900
In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale
The original cost was it before the sale will be £ 26.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
In a sale is 25% off all prices but cost £33 in the sale.
Then the original cost was it before the sale will be
Let x be the original cost.
Then we have
1.25x = £33
x = £26.4
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the ___ of an acute angle of a right triangle is the ratio if the length of the adjacent leg to the length of the hypotonuse
Answer:
cosine
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the answer to this question. It tells you ...
Cos = Adjacent/Hypotenuse
__
The cosine of an acute angle is the ratio of the adjacent leg to the hypotenuse.
Does this graph represent a function? Why or why not?
OA. Yes, because it passes the vertical line test.
OB. Yes, because it is a curved line.
OC. No, because it is not a straight line.
OD. No, because it fails the vertical line test.
This graph represents a function Because it passes the vertical line test.
Let us first understand the Vertical Line Test.
In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.
If there exists a line that intersects the graph, we say the graph passes the vertical line test.
What is the vertical line test?
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.
Hence this graph passes the vertical line test because there are many vertical lines that intersect it.
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2. At the sale, Jessica bought 4 pairs
sunglasses. How much did she
of
spend?
8.78176.60
A $51.58
B $51.80
C$55.80
D$54.80
You have two sticks. each stick has one blue side and one pink side. you throw the sticks 10 times and record the results. use the table to find the experimental probability of the event.
1. tossing 2 pink
2. tossing 1 blue and 1 pink
3. not tossing all pink
outcome | frecuency
2 blue | 1
2 pink | 3
1 blue, 1 pink | 6
Answer:
1. 30%, 2. 60%, 3. 70%Step-by-step explanation:
According to table the total frequencies is:
1 + 3 + 6 = 10Probability = Favorable outcome frequency / total frequency
Find each probability according to equation above:
1. P(2 pink) = 3/10 = 30%2. P(blue and pink) = 6/10 = 60%3. P(not all pink) = (10 - 3)/10 = 7/10 = 70%The experimental probability of the event are: 3/10; 3/5; 7/10.
Experimental probabilityFrequencies=1 + 3 + 6
Frequencies = 10
Hence:
Tossing 2 pink:
P(2 P) = 3/10
P(2 P) =30%
Tossing 1 blue and 1 pink:
P(B and P) = 6/10
P(B and P)=60% or 3/5
Not tossing all pink:
P(not all P) = (10 - 3)/10
P(not all P)= 7/10
P(not all P)=70%
Therefore the experimental probability of the event are: 3/10; 3/5; 7/10.
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A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
OT₁-9(x, y)
OT_1-9(x, y)
OT9, 1(x, y)
OT_9,-1(x, y)
Function rule describes the translation OT_1-9(x, y)
What is translation?A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.
A square on a coordinate plane is translated 9 units down and 1 unit to the right.
Let's (x, y) be the coordinate.
where x be the horizontal move and y be the vertical move.
As, it is translated 9 units down and 1 unit right.
then
(x, y) = (x +1, y - 9)
and the translation be
(x, y ) = (x+1, y-9)
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What is the value of t?
1.4t - 0.4(t-3.1) = 5.8
enter the answer as a decimal in the box.
Answer:
4.56
Step-by-step explanation:
After this equation is simplified, it is solved the way any 1-step linear equation is solved.
__
1.4t -0.4(t -3.1) = 5.8 . . . . . . given
1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses
t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)
t = 4.56 . . . . . . . . . .subtract 1.24
4.56 is the answer
I got 100% on the quiz
I hope this helps
Please Brainliest
Proof my answer is correct and not Incorrect
Find the measure of angle b.
29°
61
71
141
151
What is the value of the expression below when y=2 6y^2 +8y-9
Answer:
6y^2+7
Step-by-step explanation:
when you put in the two for y you get tour answer. i tried to simplify it down to the simplest form.
The value of the expression 6y² + 8y - 9 at y = 2 is 31.
What is substitution?Substitution in mathematics is when we replace some specific numerical values with variables according to our wants or given in the problem.
Given, An expression 6y² + 8y - 9.
Now, The value of the expression at y = 2, can be obtained by replacing
y = 2.
Therefore, 6(2)² + 8(2) - 9.
= 6(4) + 16 - 9.
= 24 + 16 - 9.
= 40 - 9.
= 31.
So, The value of the expression at y = 2 is 31.
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I need help to this equation Ive been stuck for awhile
Answer:
try 1500 in the top slot and 5 in the bottom slot
Step-by-step explanation:
In which portion of elgin’s presentation does this information fit? the overview of the situation a solution to the problem an effect of the solution an effect of the problem
A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.
What is a presentation?A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.
In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.
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Complete Question:
Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?
A. the overview of the situation
B. a solution to the problem
C. an effect of the solution
D. an effect of the problem
Answer:
B - a solution to the problem
took on edge
Which choice represents the fraction below as a single exponential
expression?
88
O A.
(3)
OB. 811
O C. 3
OD. 85
Answer:
8^5
Step-by-step explanation:
division is just minusing exponents
The correct value of this expression is 8⁵
A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.
Resolution = 8⁸/8³= 8⁸÷³= 8⁵Therefore, the answer correct is 8⁵
Juan plays 2 hours of video games per day. How many hours does he play in 6 days?
Which statement is true about angles 3 and 6?
A. They Are adjacent angeles
B. They Are complementary angles
C. They are supplementary angles
D. They are vertical angles
Answer: They are vertical angles
Step-by-step explanation:
Intersecting lines form vertical angles.